Open Science Slovenia
New in RUL
Operator entanglement in local quantum circuits I: Chaotic dual-unitary circuits
PDF - Presentation file,
The entanglement in operator space is a well established measure for the complexity of the quantum many-body dynamics. In particular, that of local operators has recently been proposed as dynamical chaos indicator, i.e. as a quantity able to discriminate between quantum systems with integrable and chaotic dynamics. For chaotic systems the local-operator entanglement is expected to grow linearly in time, while it is expected to grow at most logarithmically in the integrable case. Here we study local-operator entanglement in dual-unitary quantum circuits, a class of "statistically solvable" quantum circuits that we recently introduced. We identify a class of "completely chaotic" dual-unitary circuits where the local-operator entanglement grows linearly and we provide a conjecture for its asymptotic behaviour which is in excellent agreement with the numerical results. Interestingly, our conjecture also predicts a "phase transition" in the slope of the local-operator entanglement when varying the parameters of the circuits.
quantum many-body systems
1.01 - Original Scientific Article
FMF - Faculty of Mathematics and Physics
Number of pages:
Vol. 8, art. no. 067
ISSN on article:
Voting is allowed only to
Cite this work
Record is a part of a journal
Document is financed by a project
EC - European Commission
Open Many-body Non-Equilibrium Systems
ARRS - Agencija za raziskovalno dejavnost Republike Slovenije (ARRS)
Similar works from RUL:
Similar works from other Slovenian collections:
You have to
to leave a comment.
0 - 0 / 0
There are no comments!